Question

Two right circular cones have equal radii. If their slant heights are in the ratio $4:3$, then their respective curved surface areas are in the ratio:

• A. $16:9$
• B. $2:3$
• C. $4:3$
• D. $3:4$

Answer 1

The correct option is C $4:3$

We have,

the radius $r$ of the two cone are equal.

Given, the ratio of the slant height $l_1:l_2=4:3$.

We know, the curved surface area of the cone $=\pi rl$.

So, the required ratio the curved surface area $=\frac{\pi r{l}_1}{\pi r{l}_2}$

$=\frac{l_1}{l_2}$ $=\frac{4}{3}=4:3$.

Hence, option $C$ is correct.